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Finding the Fourth Proportional to 22,156, 30,539.64 and 16,178.20

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Solution

The fourth proportional to 22,156, 30,539.64 and 16,178.20 is: 22,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156 : 30,539.64 = 16,178.20 : x
  2. Step 2: Convert to fraction form
    22,156/30,539.64 = 16,178.20/x
  3. Step 3: Cross multiply
    22,156x = 30,539.64 × 16,178.20
  4. Step 4: Simplify right side
    22,156x = 494,076,403.85
  5. Step 5: Solve for x
    x = 494,076,403.85/22,156
  6. Step 6: Final answer
    x = 22,299.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.